GMAT Quantitative Anglia Ruskin University 2018

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; Subject: ; Class: ; with 35 questions; test in 75 minutes; update 21/11/2017
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Question 1.

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

(A)

\(3x + 2y\over 5\)

(B)

\(3x + 2y\over x+y\)

(C)

\(3x + 2y\over xy\)

(D)

5(3x+2Y)

(E)

3x+2y

Question 2.

Which of the following must be equal to zero for all real numbers x ?

I. \(-1 \over x\)
II. x+(-x)
Ill. x°

(A)

I only

(B)

II only

(C)

I and Ill only

(D)

II and Ill only

(E)

I, II, and Ill

Question 3.

In the table above, what is the least number of table entries that are needed to show the mileage between each city and each of the other five cities?

(A)

15

(B)

21

(C)

25

(D)

30

(E)

36

Question 4.

If (t- 8) is a factor off- kt- 48, then k =

(A)

-6

(B)

-2

(C)

2

(D)

6

(E)

14

Question 5.

\(31 \over 125\) = 

(A)

0.248

(B)

0.252

(C)

0.284

(D)

0.312

(E)

0.320

Question 6.

Members of a social club met to address 280 newsletters. If they addressed \(1 \over 4\) of the newsletters during the first hour and \(2 \over 5\) of the remaining newsletters during the second hour, how many newsletters did they address during the second hour?

(A)

28

(B)

42

(C)

63

(D)

84

(E)

112

Question 7.

(A)

\(7 \over 23\)

(B)

\(5 \over 13\)

(C)

\(2 \over 3\)

(D)

\(23 \over 7\)

(E)

\(13 \over 5\)

Question 8.

After 4,000 gallons of water were added to a large water tank that was already filled to \(3 \over 4\) of its capacity, the tank was then at \(4 \over 5\) of its capacity. How many gallons of water does the tank hold when filled to capacity?

(A)

5,000

(B)

6,200

(C)

20,000

(D)

40,000

(E)

80,000

Question 9.

The sum of three integers is 40. The largest integer is 3 times the middle integer, and the smallest integer is 23 less than the largest integer. What is the product of the three integers?

(A)

1,104

(B)

972

(C)

672

(D)

294

(E)

192

Question 10.

If S = { 0, 4, 5, 2, 11, 8}. how much greater than the median of the numbers in S is the mean of the numbers in S ?

(A)

0.5

(B)

1.0

(C)

1.5

(D)

2.0

(E)

2.5

Question 11.

At a monthly meeting, \(2\over5\) of the attendees were males and \(7\over 8\) of the male attendees arrived on time. If \(9\over 10\) of the female attendees arrived on time, what fraction of the attendees at the monthly meeting did not arrive on time?

(A)

\(11 \over 100\)

(B)

\(3\over 25\)

(C)

\(7 \over 50\)

(D)

\(3\over 20\)

(E)

\(4 \over 25\)

Question 12.

If d = 2.0453 and d* is the decimal obtained by rounding d to the nearest hundredth, what is the value of d" -d?

(A)

-0.0053

(B)

-0.0003

(C)

0.0007

(D)

0.0047

(E)

0.0153

Question 13.

Company K's earnings were $12 million last year. If this year's earnings are projected to be 150 percent greater than last year's earnings, what are Company K's projected earnings this year?

(A)

$13.5 million

(B)

$15 million

(C)

$18 million

(D)

$27 million

(E)

$30 million

Question 14.

The sequence a1, a2, a3, a4, a5 is such that an= an_ 1+ 5 for 2 ≤ n≤ 5. If a5 = 31. what is the value of a1 ?

(A)

1

(B)

6

(C)

11

(D)

16

(E)

21

Question 15.

When positive integer n is divided by 5, the remainder is 1. When nis divided by 7, the remainder is 3. What is the smallest positive integer k such that k + n is a multiple of 35 ?

(A)

3

(B)

4

(C)

12

(D)

32

(E)

35

Question 16.

Of the goose eggs laid at a certain pond , \(2\over 3\) hatched, and \(3 \over 4\) of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, \(3 \over 5\) did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?

(A)

280

(B)

400

(C)

540

(D)

600

(E)

840

Question 17.

List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in Sthan the average of the integers in T?

(A)

2

(B)

7

(C)

8

(D)

12

(E)

22

Question 18.

In the figure above, what is the area of triangular region BCD?

(A)

4\( \sqrt{2}\)

(B)

4

(C)

8\( \sqrt{2}\)

(D)

16

(E)

16\( \sqrt{2}\)

Question 19.

It x2 - 2x -15 = 0 and x > 0, which of the following must be equal to 0 ?

I. x2 - 6x + 9
II. X2 -7x+l0
III. x2 -1x+ 25

(A)

I only

(B)

II only

(C)

Ill only

(D)

II and Ill only

(E)

I, II, and Ill

Question 20.

It Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?

(A)

45

(B)

67

(C)

75

(D)

83

(E)

150

Question 21.

lf x=-l,then-(x 4 +X 3 +X 2 +x)=

(A)

-10

(B)

-4

(C)

0

(D)

4

(E)

10

Question 22.

Today Rose is twice as old as Sam and Sam is 3 years younger than Tina. If Rose, Sam, and Tina are all alive 4 years from today, which of the following must be true on that day?

I. Rose is twice as old as Sam.
II. Sam is 3 years younger than Tina.
Ill. Rose is older than Tina.

(A)

I only

(B)

II only

(C)

Ill only

(D)

I and II

(E)

II and Ill

Question 23.

If a square region has area n, what is the length of the diagonal of the square in terms of n?

(A)

\( \sqrt{2}\) n

(B)

\( \sqrt{n}\)

(C)

2\( \sqrt{n}\)

(D)

2n

(E)

2n2

Question 24.

Temperatures in degrees Celsius (C) can be converted to temperatures in degrees Fahrenheit (F) by the formula F =  \(9 \over 5\) C + 32 What is the temperature at
which F=C?

(A)

20°

(B)

\(32 \over 5\) °

(C)

0 °

(D)

-20°

(E)

-40 °

Question 25.

The "prime sum" of an integer ngreater than 1 is the sum of all the prime factors of n, including repetitions. For example, the prime sum of 12 is 7, since 12 = 2 x 2 x 3 and 2+ 2+ 3 = 7. For which of the following integers is the prime sum greater than 35 ?

(A)

440

(B)

512

(C)

620

(D)

700

(E)

750

Question 26.

At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?

(A)

33

(B)

34

(C)

35

(D)

36

(E)

37

Question 27.

Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points higher than Paul's score. On the second test, Ada's score was 4 points higher than Paul's score. If Paul's average (arithmetic mean) score on the three tests was 3 points higher than Ada's average score on the three tests, then Paul's score on the third test was how many points higher than Ada's score?

(A)

9

(B)

14

(C)

17

(D)

23

(E)

25

Question 28.

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?

(A)

$ 26,000

(B)

$ 30,000

(C)

$ 52,000

(D)

$ 60,000

(E)

$ 300,000

Question 29.

Which of the following lines in the xy-plane does not contain any point with integers as both coordinates?

(A)

y=x

(B)

y=x + \(1\over 2\)

(C)

y=x +5 

(D)

y= \(1 \over 2\) x 

(E)

y= \(1 \over 2\) x + 5

Question 30.

The average (arithmetic mean) of 6 numbers is 8.5. When one number is discarded, the average of the remaining numbers becomes 7.2. What is the discarded number?

(A)

7.8

(B)

9.8

(C)

10.0

(D)

12.4

(E)

15.0

Question 31.

In the rectangular coordinate system above, the area of ΔRST is

(A)

\(bc \over 2\)

(B)

\(b(c-1) \over 2\)

(C)

\(c(b-1) \over 2\)

(D)

\(a(c-1) \over 2\)

(E)

\(c(a-1) \over 2\)

Question 32.

What is the largest integer n such that \(1 \over 2^n\) > 0.01 ?

(A)

5

(B)

6

(C)

7

(D)

10

(E)

51

Question 33.

One inlet pipe fills an empty tank in 5 hours. A second inlet pipe fills the same tank in 3 hours. If both pipes are used together, how long will it take to fill  \(2 \over 3\) of the tank?

(A)

\(8 \over 15\) hr 

(B)

\(3 \over 4\) hr 

(C)

\(5 \over 4\) hr 

(D)

\(15\over 8\) hr 

(E)

\(8 \over 3\) hr 

Question 34.

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

(A)

20%

(B)

24%

(C)

36%

(D)

40%

(E)

44%

Question 35.

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria?

(A)

10

(B)

12

(C)

14

(D)

16

(E)

18

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35   
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